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Finding the Third Proportional to 228,420 and 496,044

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Solution

The third proportional to 228,420 and 496,044 is: 1,077,224.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,420 : 496,044 = 496,044 : x
  2. Step 2: Convert to fraction form
    228,420/496,044 = 496,044/x
  3. Step 3: Cross multiply
    228,420x = 496,044 × 496,044
  4. Step 4: Simplify right side
    228,420x = 246,059,649,936
  5. Step 5: Solve for x
    x = 246,059,649,936/228,420
  6. Step 6: Final answer
    x = 1,077,224.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.